Your people/country was conquered centuries ago, get over it.
I would like to point out that victims of conquest was not always the method by which Indian nations or bands engaged with the United States--A goodly number negotiated in good faith, cooperated with the US against common enemies, and were given promises of recompense and special distinction for themselves and their descendants in exchange for that cooperation and negotiation (and/or ongoing cooperation when the Feds first started reorganizing things into the beginnings of the present shit-show).
That the US then had a bad habit of reneging on the deals made, as with the Cherokee here, is not an endorsement or excuse for doing so.
These tribal "nations" only exist due to the kindness of the American government and would collapse almost immediately if monetary support is stopped.
I would also just like to note this is an absurdly simplistic representation of the problems 'Indian country' has in the US and the fricken' smorgasbord of relationships some 500 different tribes have with a government that has long been plagued by unresponsiveness, a great deal of ignorance and misrepresentation alongside of bureaucratic BS the likes of which are storied monuments to incompetence, and in many cases a failure to abide by the standards it set for itself (or new standards which have active secondary effects that promote incompetence, ignorance and misrepresentation, and general shittiness for the individuals ostensibly 'served' by that government).
I was actually unaware the US treaty with the Cherokee offered them a representative, and I'd be down for them being a full-on voting member. But there'd be a raftload of problems that'd come with that--not least of which from the other tribal nations in general because of perceived favoritism (even if it's century+ old favoritism). This is, honestly, one of those topics where there are ideological 'answers' on both ends trying to correct the problems, but those answers have astounding problems of their own in either direction that have just been compounded by the US sketchy history of abiding by its treaties, the running shitshow the BIA and US-Native relations have been since...Grant, at least, and the running conflict(s) in 'Indian Country' over ideological and practical matters of governance, citizenship, life and tradition.
Simple answers all the way around the spectrum are great for being catchy, seductive, and ignoring whole swathes of history, practical reality, and unintended consequences that people's favorite pet ideals would cause (or, in the case of the current system, already HAS caused).